Cosmological coincidence problem in interacting dark energy models

TL;DR

This paper investigates an interacting dark energy model with specific interaction terms, analyzing conditions near the phantom-divide-line crossing to address the cosmological coincidence problem, supported by examples with quadratic and exponential potentials.

Contribution

It introduces a detailed analysis of dark energy interactions near the phantom-divide-line crossing, demonstrating how these models can alleviate the coincidence problem with specific potential examples.

Findings

System can cross w=-1 line in the model.

Crossing alleviates the coincidence problem.

Supported by quadratic and exponential potentials.

Abstract

An interacting dark energy model with interaction term $Q= \lambda_m H\rho_m+\lambda_dH\rho_d$ is considered. By studying the model near the transition time, in which the system crosses the w=-1 phantom-divide-line, the conditions needed to overcome the coincidence problem is investigated. The phantom model, as a candidate for dark energy, is considered and for two specific examples, the quadratic and exponential phantom potentials, it is shown that it is possible the system crosses the w=-1 line, meanwhile the coincidence problem is alleviated, the two facts that have root in observations.